6564554656 has 48 divisors (see below), whose sum is σ = 14157557568. Its totient is φ = 2971468800.

The previous prime is 6564554651. The next prime is 6564554657.

6564554656 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6564554656² = 86186755663222556672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6564554651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46141 + ... + 123523.

It is an arithmetic number, because the mean of its divisors is an integer number (294949116).

Almost surely, 2^6564554656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6564554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078778784).

6564554656 is an abundant number, since it is smaller than the sum of its proper divisors (7593002912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6564554656 is a wasteful number, since it uses less digits than its factorization.

6564554656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77645 (or 77637 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The square root of 6564554656 is about 81021.9393497835. The cubic root of 6564554656 is about 1872.4134676112.

The spelling of 6564554656 in words is "six billion, five hundred sixty-four million, five hundred fifty-four thousand, six hundred fifty-six".